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Finding the Third Proportional to 4,378 and 10,124.50

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Solution

The third proportional to 4,378 and 10,124.50 is: 23,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378 : 10,124.50 = 10,124.50 : x
  2. Step 2: Convert to fraction form
    4,378/10,124.50 = 10,124.50/x
  3. Step 3: Cross multiply
    4,378x = 10,124.50 × 10,124.50
  4. Step 4: Simplify right side
    4,378x = 102,505,500.25
  5. Step 5: Solve for x
    x = 102,505,500.25/4,378
  6. Step 6: Final answer
    x = 23,413.77

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.